maths. problem

2007-05-26 11:30 pm
If x =開方(a+1) - 開方a , where a >0 , then x+1/x =?

回答 (1)

2007-05-27 12:09 am
✔ 最佳答案
x =√(a+1) - √a
x+1/x
=[√(a+1) - √a]+1/[√(a+1) - √a]
=[√(a+1) - √a]+[√(a+1) +√a]/[√(a+1) - √a][√(a+1) + √a]
=[√(a+1) - √a]+[√(a+1) +√a]
=2√(a+1)


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